First, isolate the variables to either side.
4y = -7/5x -7
Second, simplify in terms of y.
y = -7/20x - 7/4
Third, plug 0 in for y to find the y intercept and factor the x side to make it simple. Then, find the value that makes the x-factor zero.
0 = (-7/4)(1/5x +1)
1/5x + 1 = 0
1/5x = -1
x = -5
The x-intercept is (-5,0)
Fourth, plug zero in for x to find the y-intercept.
y = -7/20*(0) -7/4
y = -7/4
Therefore, the y-intercept is (0,-7/4) and the x-intercept is (-5,0).
Answer:
Use the order of operations in reverse and remember that dividing or multiplying by a negative reverses the inequality
Explanation:
The order of operations is PEMDAS in reverse it is PESADM ( if you lose your cell phone in PE you are a SAD M(am)
Remember multiply or dividing by a negative reverses the value of the quality being divided or multiplied.
Just do the order of operations in reverse as in solving an equation always doing the opposite. Then remember to reverse the inequality sign whenever the inequality is multiplied or divided by a negative.
Step-by-step explanation:
Answer:
Step-by-step explanation:
8 earth years
Volume for a cone is 1/3 pi * r^2*h, where r is radius and h is height. We have diameter = 1/2 radius. Thus, radius = 1.5in. We also have volume is 12 in. Using formula for volume of a cone and plugging in what we know, we have 12 = 1/3*pi*(1.5)^2*h, were solving for h. To get, h= (12*3)/(pi*(1.5)^2), which is approximately 5.0931in, 5 inches
Answer:
x = 4
y = -3
Step-by-step explanation:
We can use substitution, elimination, or graphically.
Step 1: Rearrange first equation
2x + 4y = -4
2x = -4 - 4y
x = -2 - 2y
Step 2: Rewrite systems of equations
x = -2 - 2y
3x + 5y = -3
Step 3: Substitution
3(-2 - 2y) + 5y = -3
-6 - 6y + 5y = -3
-6 - y = -3
-y = 3
y = -3
Step 4: Find <em>x</em> using <em>y</em>
2x + 4(-3) = -4
2x - 12 = -4
2x = 8
x = 4
Graphically:
Use a graphing calc and analyze where the 2 lines intersect.
